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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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743 prompts matching "Structured question: perpendicular bisector of a line segment"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solving 4^x = 8^(x-1) by matching bases

I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side

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Evaluating a fractional-negative index expression

I am in SS 1. Teach me evaluating 25^(-3/2) fully as a fraction without a calculator the w

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Rewriting an expression with only positive indices

I am in SS 1. Teach me rewriting an expression such as 3x^-2 y^3 z^-1 so every index in it

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Solving an equation with a fractional exponent on x

I am in SS 1. Quiz me with 3 short Additional Maths questions on solving x^(2/3) = 4 for x

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Evaluating (1/2)^-3 without a calculator

I am in SS 1. I attempted an Additional Maths question on evaluating (1/2)^-3 fully withou

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Multiplying a surd by an integer

I am in SS 1. Teach me multiplying a surd by a whole number, such as 4 times root 5, and s

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Expanding brackets containing surds

I am in SS 1. Quiz me with 4 short Additional Maths questions on expanding a bracket conta

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Squaring a surd expression

I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin

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Rationalising a denominator with a single surd

I am in SS 1. Quiz me with 4 short Additional Maths questions on rationalising a denominat

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Solving a simple surd equation

I am in SS 1. Teach me solving a surd equation, such as solving root(x + 4) = 3, and check

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Simplifying a fraction with a surd numerator

I am in SS 1. Teach me simplifying a fraction where the numerator contains a surd, such as

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Surds in the quadratic formula

I am in SS 1. Quiz me with 5 short Additional Maths questions on why the quadratic formula

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Multiplying three surds together

I am in SS 1. Quiz me with 4 short Additional Maths questions on multiplying three surds t

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Dividing surds using the quotient rule

I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d

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Proving a surd statement is true or false

I am in SS 1. I attempted an Additional Maths question on proving whether a given surd sta

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Solving a surd equation that gives an extraneous root

I am in SS 1. Quiz me with 3 short Additional Maths questions on solving a surd equation s

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Simplifying nested surds

I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su

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Common surd mistakes to watch out for

Quiz me with 4 short Additional Maths questions on the most common mistakes SS1 Further Ma

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Surds in a coordinate geometry distance calculation

I am in SS 1. Teach me a coordinate geometry question where applying the distance formula

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Finding n(A union B) using the formula

I am in SS 1. Quiz me with 5 short Additional Maths questions on using the formula n(A uni

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